Chapter 13.4, Problem 13.9CYU

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# A 1.40-g sample of polyethylene, a common plastic, is dissolved in enough organic solvent to give 100.0 mL of solution. What is the average molar mass of the polymer if the measured osmotic pressure of the solution is 1.86 mm Hg at 25 °C?

Interpretation Introduction

Interpretation: The molar mass of polymer polyethylene has to be identified if the measured osmotic pressure of the solution is 1.86mmHg .

Concept introduction:

Osmotic pressure: The pressure created by the column of solution for the system at equilibrium is a measure of the osmotic pressure.

Osmotic pressure, Π = cRT,where,cismolar concentration,Ris Gas constant,Tisaabsolute temperature.

Explanation

Given data:

MolarÂ MassÂ ofÂ polymerÂ (solute)Â =Â ?MassÂ ofÂ polymerÂ =â€‰Â 1.40Â gÂ VolumeÂ ofÂ chloroformÂ solutionÂ =Â 100Â mlTÂ =Â 25oCÂ =Â 25oC+273Â =Â 298Â K

Concentration can be calculated using the osmotic pressure equation

OsmoticÂ pressure,Â Î Â =Â cRT

CalculationÂ ofÂ Concentration:_OsmoticÂ pressure,Â Î Â =Â cRTConcentration,cÂ =Â Î RTÂ =Â (1.86Â mmÂ Hg)Â (1atmÂ /760Â mmHg)(0.08206Â L.atm/mol.K)(298Â K)Â =Â Â 1.0Ã—Â 10-4Â mol/L

Calculationâ€‰ofÂ no.ofÂ moles:_cÂ =Â nVâ€‰nÂ =â€‰â€‰(1

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